08_InstSolManual_PDF_Part19 - Momentum 8-19 8.67 Set Up Let...

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8.67. Set Up: Let the system be the two masses and the spring. The system is sketched in Figure 8.67, in its initial and final situations. Use coordinates where is to the right. Call the masses A and B . Figure 8.67 Solve: so and Energy conservation says the potential energy originally stored in the spring is all converted into kinetic energy of the blocks, so so Reflect: If the objects have different masses they will end up with different speeds. The lighter one will have the greater speed, since they end up with equal magnitudes of momentum. 8.68. Set Up: Let be to the right. Apply conservation of momentum to the collision and conservation of energy to the motion after the collision. The total mass is The spring has force constant Let V be the velocity of the block just after impact. Solve: (a) Conservation of energy for the motion after the collision gives and (b) Conservation of momentum applied to the collision gives 8.69.
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